Faculty of Physics
M.V. Lomonosov Moscow State University
Menu
Regular Article

Some qualitative properties of the Van der Pol equation inferred from its singular set

I.P. Pavlotsky$^1$, B.I. Sadovnikov$^2$, M. Strianese$^1$

Moscow University Physics Bulletin 2007. 62. N 4. P. 226

  • Article
Annotation

It is shown that the singular set of an extended “inverse” integral curve $x(y)$ of the Van der Pol equation is covered with local extrema of $x(y)$ that are stable with respect to small perturbations in the equation. As a consequence, the qualitative behavior of $x(y)$ can be determined and some of its important properties can be understood.

Rissian citation:
И.П. Павлоцкий, М.Б. Садовникова, М. Стрианезе.
Некоторые качественные свойства уравнения Ван дер Поля как следствие его сингулярного множества.
Вестн. Моск. ун-та. Сер. 3. Физ. Астрон. 2007. № 4. С. 23.
Authors
I.P. Pavlotsky$^1$, B.I. Sadovnikov$^2$, M. Strianese$^1$
$^1$Second University of Naples, Caserta, 81031, Italy
$^2$Department of Quantum Statistics and Field Theory, Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
Issue 4, 2007

Moscow University Physics Bulletin

Science News of the Faculty of Physics, Lomonosov Moscow State University

This new information publication, which is intended to convey to the staff, students and graduate students, faculty colleagues and partners of the main achievements of scientists and scientific information on the events in the life of university physicists.